Tolong Di Bantu Soal Essay No.1 - 5 PAKAI CARA... Thx...

1) f(x)=2x-1 dan g(x) = x -1
fog(x) = f { g(x) }
= f (x-1)
= 2(x-1)-1
= 2x -2-1
= 2x -3
2) f(x) = (2x+1)/(3x-4)
y = (2x+1)/(3x-4)
(3x-4)y = 2x+1
3xy -4y = 2x +1
3xy -2x = 4y +1
(3y-2)x = 4y +1
x = (4y+1)/(3y-2)
f-1(x) = (4x+1)/(3x-2)
3) f(x)= 2x+3 dan g(x) = x+1
fog(-2) = f { g(-2) }
= f (-2+1)
= f (-1)
= 2(-1)+3
= -2+3
= 1
4) f(x) = 2x-3 dan g(x) = x+1.
gof(x) = g { f (x) }
= g (2x-3)
= (2x-3)+1
= 2x-2
misal gof(x) = y, maka
y = 2x-2
2x = y +2
x = (y +2)/2
y-1= (x+2)/2
(gof)-1(x) = (x+2)/2
5) f(x) = 3x , g(x) = 2-x^2 ,dan h(x) = x+2
(hogof)(1)= ho g { f(1)}
= hog(3.1)
= hog(3)
= h { g(3) }
= h (2-3^2)
= h (2-9)
=h (-7)
= -7+2
= -5
hogof(1) = -5